2(5-x)=4(2x-3)

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Solution for 2(5-x)=4(2x-3) equation:


Simplifying
2(5 + -1x) = 4(2x + -3)
(5 * 2 + -1x * 2) = 4(2x + -3)
(10 + -2x) = 4(2x + -3)

Reorder the terms:
10 + -2x = 4(-3 + 2x)
10 + -2x = (-3 * 4 + 2x * 4)
10 + -2x = (-12 + 8x)

Solving
10 + -2x = -12 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
10 + -2x + -8x = -12 + 8x + -8x

Combine like terms: -2x + -8x = -10x
10 + -10x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -10x = -12 + 0
10 + -10x = -12

Add '-10' to each side of the equation.
10 + -10 + -10x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -12 + -10
-10x = -12 + -10

Combine like terms: -12 + -10 = -22
-10x = -22

Divide each side by '-10'.
x = 2.2

Simplifying
x = 2.2

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